Gov. Palin's father reportedly told a magazine that he wished Levi Johnston would buy some diapers for his infant grandson. Johnston is pictured here sitting with Bristol Palin last year at the Republican National Convention.

(CNN) – A third generation of the Palin clan is getting in on the increasingly public feud between the family of Alaska Gov. Sarah Palin and the family of Levi Johnston, Bristol Palin’s ex-fiance who is the father of Gov. Sarah Palin’s infant grandson.

In an issue of US weekly that hit newsstands Wednesday, Chuck Heath, the governor’s father and Bristol Palin’s grandfather, told the magazine that Johnston "’has not contributed anything’" for the infant son, Tripp, he fathered with Bristol.

The strife between the Johnston and Palin clans reached a new level recently when Johnston, his sister, and his mother tried in television interviews to dispel what the Johnstons called false rumors about them.

After an initial appearance by the Johnstons on the Tyra Banks show, a spokesperson for Governor Palin said the teenage father had lied about ever having lived in the Palins' home. Days later, the teenage father struck back in a second interview on CBS, complaining about how the the Palin family is treating him now.

In the US Weekly interview, Heath took issue with Johnston’s recent media rounds.

"'I don't agree with what he's doing right now,’" Heath told the magazine. "'It's not right. He's broke, so he's trying to capitalize on this. I wish he’d take some of this money he’s making and buy some diapers with it.’"

In the Johnstons’ interview with Tyra Banks, the talk show host made a point of emphasizing that the family was not being paid for appearing on her show.
Palin revealed that her unmarried daughter was pregnant soon after being named as the runningmate of Republican presidential nominee Sen. John McCain. Johnston joined the Palin family at the Republican National Convention.

The two teenagers had plans to marry but their relationship ended after the birth of their son.

Johnston and his family said in their recent interviews that Johnston is permitted to visit with his son at the Palin home but is not permitted to take the child away from the home.